Write the percentage shown in the model

Relationship B has a lesser rate than Relationship A. The graph represents Relationship A.

Zinaida [17]

Given that Relationship B has a lesser rate than Relationship A and that the graph representing Relationship A is a first-quadrant graph showing a ray from the origin through the points (2, 3) and (4, 6) where the horizontal axis label is Time in weeks and the vertical axis label is Plant growth in inches.

The rate of relationship A is given by the slope of the graph as follows:

$slope= \frac{6-3}{4-2} = \frac{3}{2} =1.5$

To obtain which table could represent Relationship B, we check the slopes of the tables and see which has a lesser slope.

For table A.
Time (weeks) 3 6 8 10
Plant growth (in.) 2.25 4.5 6 7.5

$slope= \frac{4.5-2.25}{6-3} = \frac{2.25}{3} =0.75$

For table B.
Time (weeks) 3 6 8 10
Plant growth (in.) 4.8 9.6 12.8 16

 $slope= \frac{9.6-4.8}{6-3} = \frac{4.8}{3} =1.6$

 For tabe C.
Time (weeks) 3 4 6 9
Plant growth (in.) 5.4 7.2 10.8 16.2

 $slope= \frac{7.2-5.4}{4-3} = \frac{1.8}{1} =1.8$

For table D.
Time (weeks) 3 4 6 9
Plant growth (in.) 6.3 8.4 12.6 18.9

 $slope= \frac{8.4-6.3}{4-3} = \frac{2.1}{1} =2.1$ 

Therefore, the table that could represent Relationship B is table A.

7 0

3 years ago

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About 79,000 people live in a circular region with a population density of about 513 people per square mile. Find the radius of

Natalija [7]

To solve this problem, let us first assign some variables. Let us say that:

d = represents the population density of the circular region (in units of 513 people per square mile)

p = represents the population of the circular region (in units of people)

r = is the radius of the circular region

Now we can see that if we divide p by d, we can get a value which has a units of square mile. Thus the area of the region, hence:

Area = 79,000 people / (513 people per square mile)

Area = 154 square mile

The area of a circle has the formula:

Area = π r^2

Therefore calculating for r:

154 square mile = π r^2

r = 7 miles (ANSWER)

5 0

3 years ago

Which translation maps the vertex of the graph of the function f(x) = x onto the vertex of the function g(x) = x2 + 2x +1?

Jlenok [28]

I’m gonna be honest I don’t know

5 0

2 years ago

The pyramid shown has a square base that is 12 centimeters on each side. The slant height is 18 centimeters. What is the surface

Sav [38]

The correct answer is:

576 sq. cm.

Explanation:

The surface area of a figure is the sum of the areas of the faces of the figure.

The slant height goes from the apex of the pyramid along a face and is perpendicular to the base at the bottom of that face. This gives us 2 measurements of each triangular face of the pyramid: the height (the slant height of the pyramid is the height of the triangular face), 18 cm, and the base of the triangular face, 12 cm.

The formula for the area of a triangle is A = 1/2bh; using our measurements we have:
A = 1/2(12)(18) = 108 sq. cm.

There are 4 triangular faces on a square pyramid, and each will have an area of 108 sq. cm.; this gives us:
4(108) = 432 sq. cm.

The area of the base is given by length times width, or 12*12 = 144 sq. cm.

This gives us a total surface area of 432+144=576 sq. cm.

8 0

3 years ago

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Please help, this is due soon!

Vikentia [17]

Answer:

289 meters I believe.

Step-by-step explanation:

6 0

2 years ago